I am assuming that the equation is 3*sin(t) = 1.5 even though the equality sign is not visible - due to the browser limitations.
Then sin(t) = 1.5/3 = 0.5
So t = sin-1(0.5) which gives the principal value of t = 0.5236.
The next value of t, in the domain, is pi - 0.5236 = 2.618 radians.
There are no further values in the specified domain.
sin(theta) = 15/17, cosec(theta) = 17/15 cos(theta) = -8/17, sec(theta) = -17/8 cotan(theta) = -8/15 theta = 2.0608 radians.
It means that 0 < theta < pi/2 radians or 90 degrees.
To determine what negative sine squared plus cosine squared is equal to, start with the primary trigonometric identity, which is based on the pythagorean theorem...sin2(theta) + cos2(theta) = 1... and then solve for the question...cos2(theta) = 1 - sin2(theta)2 cos2(theta) = 1 - sin2(theta) + cos2(theta)2 cos2(theta) - 1 = - sin2(theta) + cos2(theta)
You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
-0.5736
Yes. (Theta in radians, and then approximately, not exactly.)
Pi radians is 180 degrees. So if you have theta in radians, multiply by 180/Pi
Yes. The derivation of the simple formula for the period of the pendulum requires the angle, theta (in radians) to be small so that sin(theta) and theta are approximately equal. There are more exact formulae, though.
r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).r*theta = where theta is the angle measured in radians.= 5*120*pi/180 = 10.472 units (approx).
Theta is the measure of the angle, whether in degrees or radians.
[]=theta 1. sin[]=0.5sin[] Subtract 0.5sin[] from both sides.2. 0.5sin[]=0. Divide both sides by 0.5.3. Sin[] =0.[]=0 or pi (radians)
sin-1 (0.91) = about 1.14328 radians.
No, not necessarily. Cosine theta is equal to 1 only when theta is equal to zero and multiples of 2 pi radians or multiples of 360 degrees. This is because cosine theta is hypotenuse over adjacent, and the ratio 1 only occurs at 0, 360, 720, etc. or 0, 2 pi, 4 pi, etc.
Theta equals 0 or pi.
cos2(theta) = 1 so cos(theta) = ±1 cos(theta) = -1 => theta = pi cos(theta) = 1 => theta = 0
when sin theta almost equals to theta in radians
Theta is most often used to represent unknown angles, especially in the study of trigonometry. Theta represents an angle in degrees, but not in radians. --------------------------------------- Theta (θ) is a Greek letter, typically denoting an unknown angle. Depending on the context of the problem, it could be in degrees or radians.